JAMB and WAEC Mathematics questions

861 questions with answers and explanations. Tap an option to check yourself.

1. Question 781· Trigonometry· WAEC

   A ladder 10 m long reaches 8 m up a wall. How far is its foot from the wall?

   • A12.8 m
   • B2 m
   • C18 m
   • D6 m

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   Answer: D. 6 m

   Explanation and discussion

2. Question 782· Trigonometry· JAMB

   Find the value of cos 150°.

   • A√3/2
   • B−√3/2
   • C−½
   • D½

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   Answer: B. −√3/2

   Explanation and discussion

3. Question 783· Trigonometry· WAEC

   The bearing of B from A is 135°. The bearing of A from B is

   • A315°
   • B225°
   • C045°
   • D135°

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   Answer: A. 315°

   Explanation and discussion

4. Question 784· Trigonometry· WAEC

   From the top of a tower 20 m high, the angle of depression of a car on level ground is 45°. How far is the car from the foot of the tower?

   • A40 m
   • B20√2 m
   • C10 m
   • D20 m

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   Answer: D. 20 m

   Explanation and discussion

5. Question 785· Trigonometry· JAMB

   A ladder 13 m long reaches 12 m up a vertical wall. How far is the foot of the ladder from the wall?

   • A1 m
   • B5 m
   • C25 m
   • D√313 m

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   Answer: B. 5 m

   Explanation and discussion

6. Question 786· Trigonometry· JAMB

   A ladder 10 m long leans against a wall making an angle of 60° with the ground. How high up the wall does it reach?

   • A5 m
   • B8.66 cm
   • C10√3 m
   • D5√3 m

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   Answer: D. 5√3 m

   Explanation and discussion

7. Question 787· Trigonometry· JAMB

   Evaluate sin 30° + cos 60°.

   • A√3
   • B½
   • C1
   • D0

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   Answer: C. 1

   Explanation and discussion

8. Question 788· Trigonometry· WAEC

   What is the value of cos 45°?

   • A1/2
   • B√3/2
   • C1/√2
   • D1

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   Answer: C. 1/√2

   Explanation and discussion

9. Question 789· Trigonometry· WAEC

   From the top of a 30 m building, the angle of depression of a car is 30°. How far is the car from the foot of the building?

   • A30√3 m
   • B10√3 m
   • C15 m
   • D60 m

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   Answer: A. 30√3 m

   Explanation and discussion

10. Question 790· Trigonometry· JAMB

    The bearing of A from B is 060°. Find the bearing of B from A.

    • A060°
    • B240°
    • C120°
    • D300°

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    Answer: B. 240°

    Explanation and discussion

11. Question 791· Trigonometry· WAEC

    If tan θ = 3/4 and θ is acute, find cos θ.

    • A3/4
    • B3/5
    • C5/4
    • D4/5

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    Answer: D. 4/5

    Explanation and discussion

12. Question 792· Trigonometry· JAMB

    From a point 20 m from the foot of a tree, the angle of elevation of its top is 45°. Find the height of the tree.

    • A40 m
    • B10 m
    • C20√2 m
    • D20 m

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    Answer: D. 20 m

    Explanation and discussion

13. Question 793· Trigonometry· WAEC

    Find the value of tan 45°.

    • A0
    • B1/√3
    • C√3
    • D1

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    Answer: D. 1

    Explanation and discussion

14. Question 794· Trigonometry· JAMB

    Without using tables, evaluate cos 300°.

    • A−1/2
    • B1/2
    • C√3/2
    • D−√3/2

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    Answer: B. 1/2

    Explanation and discussion

15. Question 795· Trigonometry· WAEC

    Which angle between 180° and 270° has a tangent equal to √3?

    • A225°
    • B210°
    • C240°
    • D260°

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    Answer: C. 240°

    Explanation and discussion

16. Question 796· Trigonometry· WAEC

    A pole casts a 12 m shadow when the sun's elevation is 45°. The pole's height is

    • A24 m
    • B6 m
    • C12√2 m
    • D12 m

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    Answer: D. 12 m

    Explanation and discussion

17. Question 797· Trigonometry· JAMB

    From the top of a tower 30 m high, the angle of depression of a car is 30°. How far is the car from the foot of the tower?

    • A60 m
    • B10√3 m
    • C15 m
    • D30√3 m

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    Answer: D. 30√3 m

    Explanation and discussion

18. Question 798· Trigonometry· JAMB

    If sin θ = cos θ and θ is acute, find θ.

    • A60°
    • B30°
    • C45°
    • D90°

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    Answer: C. 45°

    Explanation and discussion

19. Question 799· Trigonometry· WAEC

    The bearing of B from A is 065°. Find the bearing of A from B.

    • A295°
    • B115°
    • C245°
    • D155°

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    Answer: C. 245°

    Explanation and discussion

20. Question 800· Trigonometry· WAEC

    If sin x = 0.6 and x is acute, find tan x.

    • A0.48
    • B1.33
    • C0.8
    • D0.75

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    Answer: D. 0.75

    Explanation and discussion